We present analytical methods to estimate the recombinational history
of chromosomes in a human population. Our analysis, similar to those u
tilized in Drosophila, can be used to construct meiotic maps based upo
n crossover frequencies observed in family data. We apply this method
of exchange estimation to a population of paternally and maternally in
herited chromosomes 21. The patterns of chromosomal exchange estimated
by this type of analysis are comparable to those obtained by the more
technically difficult method of cytologically counting chiasmata amon
g human male meiotic events (sperm). This type of analysis can be appl
ied to both male and female meiosis, circumventing many technical prob
lems inherent to cytological counting. Moreover, the distribution of e
xchange locations along a chromosome for each exchange type (i.e., sin
gle, double, or triple exchanges) can be examined individually, an adv
antage compared to examination of genetic maps that only provide a sum
mary of these distributions. We discuss how this analysis can be used
to examine various assumptions concerning meiotic exchange in humans a
nd investigate properties of the analysis that contribute to the accur
acy of the results.